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Finding the Third Proportional to 21,549.38 and 31,503.94

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Solution

The third proportional to 21,549.38 and 31,503.94 is: 46,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549.38 : 31,503.94 = 31,503.94 : x
  2. Step 2: Convert to fraction form
    21,549.38/31,503.94 = 31,503.94/x
  3. Step 3: Cross multiply
    21,549.38x = 31,503.94 × 31,503.94
  4. Step 4: Simplify right side
    21,549.38x = 992,498,078.00
  5. Step 5: Solve for x
    x = 992,498,078.00/21,549.38
  6. Step 6: Final answer
    x = 46,056.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.